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Finding the Fourth Proportional to 361,811.34, 499,330.31 and 200,718.28

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Solution

The fourth proportional to 361,811.34, 499,330.31 and 200,718.28 is: 277,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,811.34 : 499,330.31 = 200,718.28 : x
  2. Step 2: Convert to fraction form
    361,811.34/499,330.31 = 200,718.28/x
  3. Step 3: Cross multiply
    361,811.34x = 499,330.31 × 200,718.28
  4. Step 4: Simplify right side
    361,811.34x = 100,224,720,595.64
  5. Step 5: Solve for x
    x = 100,224,720,595.64/361,811.34
  6. Step 6: Final answer
    x = 277,008.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.